What is the Least Common Multiple of 15398 and 15410?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 15398 and 15410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15398 and 15410, than apply into the LCM equation.

GCF(15398,15410) = 2
LCM(15398,15410) = ( 15398 × 15410) / 2
LCM(15398,15410) = 237283180 / 2
LCM(15398,15410) = 118641590

Least Common Multiple (LCM) of 15398 and 15410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15398 and 15410. First we will calculate the prime factors of 15398 and 15410.

Prime Factorization of 15398

Prime Factorization of 15410

Now multiplying the highest exponent prime factors to calculate the LCM of 15398 and 15410.

LCM(15398,15410) = 2¹ × 7699¹ × 5¹ × 23¹ × 67¹
LCM(15398,15410) = 118641590